4D Einstein--Gauss--Bonnet gravity coupled to modified logarithmic nonlinear electrodynamics

TL;DR

This paper investigates black hole solutions in 4D Einstein--Gauss--Bonnet gravity coupled with modified logarithmic nonlinear electrodynamics, analyzing their thermodynamics, stability, shadows, and quasinormal modes, revealing phase transitions and stability conditions.

Contribution

It presents new spherically symmetric black hole solutions in 4D Einstein--Gauss--Bonnet gravity with ModLogNED and explores their physical properties and stability features.

Findings

Black holes exhibit phase transitions and stability depending on horizon radius.

Entropy shows logarithmic corrections to the area law.

Black hole shadows and energy emission rates are characterized.

Abstract

Spherically symmetric solution in 4D Einstein--Gauss--Bonnet gravity coupled to modified logarithmic nonlinear electrodynamics (ModLogNED) is found. This solution at infinity possesses the charged black hole Reissner--Nordstr\"{o}m behavior. We study the black hole thermodynamics, entropy, shadow, energy emission rate and quasinormal modes. It was shown that black holes can possess the phase transitions and at some range of event horizon radii black holes are stable. The entropy has the logarithmic correction to the area law. The shadow radii were calculated for variety of parameters. We found that there is a peak of the black hole energy emission rate. The real and imaginary parts of the quasinormal modes frequencies were calculated. The energy conditions of ModLogNED are investigated.